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Finding the Fourth Proportional to 18,301.14, 27,432.78 and 7,203.30

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Solution

The fourth proportional to 18,301.14, 27,432.78 and 7,203.30 is: 10,797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,301.14 : 27,432.78 = 7,203.30 : x
  2. Step 2: Convert to fraction form
    18,301.14/27,432.78 = 7,203.30/x
  3. Step 3: Cross multiply
    18,301.14x = 27,432.78 × 7,203.30
  4. Step 4: Simplify right side
    18,301.14x = 197,606,544.17
  5. Step 5: Solve for x
    x = 197,606,544.17/18,301.14
  6. Step 6: Final answer
    x = 10,797.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.